Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950967571> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2950967571 abstract "Asymptotic cones of metric spaces were first invented by Gromov. They are metric spaces which capture the 'large-scale structure' of the underlying metric space. Later, van den Dries and Wilkie gave a more general construction of asymptotic cones using ultrapowers. Certain facts about asymptotic cones, like the completeness of the metric space, now follow rather easily from saturation properties of ultrapowers, and in this survey, we want to present two applications of the van den Dries-Wilkie approach. Using ultrapowers we obtain an explicit description of the asymptotic cone of a semisimple Lie group. From this description, using semi-algebraic groups and non-standard methods, we can give a short proof of the Margulis Conjecture. In a second application, we use set theory to answer a question of Gromov." @default.
- W2950967571 created "2019-06-27" @default.
- W2950967571 creator A5065008031 @default.
- W2950967571 creator A5073488973 @default.
- W2950967571 date "2003-11-07" @default.
- W2950967571 modified "2023-09-27" @default.
- W2950967571 title "Asymptotic cones and ultrapowers of Lie groups" @default.
- W2950967571 cites W1543684365 @default.
- W2950967571 cites W1983894121 @default.
- W2950967571 cites W1988777076 @default.
- W2950967571 cites W1993767762 @default.
- W2950967571 cites W2088397367 @default.
- W2950967571 cites W2134086356 @default.
- W2950967571 cites W2314781788 @default.
- W2950967571 cites W431130661 @default.
- W2950967571 hasPublicationYear "2003" @default.
- W2950967571 type Work @default.
- W2950967571 sameAs 2950967571 @default.
- W2950967571 citedByCount "0" @default.
- W2950967571 crossrefType "posted-content" @default.
- W2950967571 hasAuthorship W2950967571A5065008031 @default.
- W2950967571 hasAuthorship W2950967571A5073488973 @default.
- W2950967571 hasConcept C111919701 @default.
- W2950967571 hasConcept C11413529 @default.
- W2950967571 hasConcept C134306372 @default.
- W2950967571 hasConcept C136119220 @default.
- W2950967571 hasConcept C162324750 @default.
- W2950967571 hasConcept C17231256 @default.
- W2950967571 hasConcept C176217482 @default.
- W2950967571 hasConcept C178790620 @default.
- W2950967571 hasConcept C185592680 @default.
- W2950967571 hasConcept C187915474 @default.
- W2950967571 hasConcept C198043062 @default.
- W2950967571 hasConcept C202444582 @default.
- W2950967571 hasConcept C21547014 @default.
- W2950967571 hasConcept C2778572836 @default.
- W2950967571 hasConcept C2780990831 @default.
- W2950967571 hasConcept C2781311116 @default.
- W2950967571 hasConcept C30014739 @default.
- W2950967571 hasConcept C33923547 @default.
- W2950967571 hasConcept C41008148 @default.
- W2950967571 hasConcept C9376300 @default.
- W2950967571 hasConceptScore W2950967571C111919701 @default.
- W2950967571 hasConceptScore W2950967571C11413529 @default.
- W2950967571 hasConceptScore W2950967571C134306372 @default.
- W2950967571 hasConceptScore W2950967571C136119220 @default.
- W2950967571 hasConceptScore W2950967571C162324750 @default.
- W2950967571 hasConceptScore W2950967571C17231256 @default.
- W2950967571 hasConceptScore W2950967571C176217482 @default.
- W2950967571 hasConceptScore W2950967571C178790620 @default.
- W2950967571 hasConceptScore W2950967571C185592680 @default.
- W2950967571 hasConceptScore W2950967571C187915474 @default.
- W2950967571 hasConceptScore W2950967571C198043062 @default.
- W2950967571 hasConceptScore W2950967571C202444582 @default.
- W2950967571 hasConceptScore W2950967571C21547014 @default.
- W2950967571 hasConceptScore W2950967571C2778572836 @default.
- W2950967571 hasConceptScore W2950967571C2780990831 @default.
- W2950967571 hasConceptScore W2950967571C2781311116 @default.
- W2950967571 hasConceptScore W2950967571C30014739 @default.
- W2950967571 hasConceptScore W2950967571C33923547 @default.
- W2950967571 hasConceptScore W2950967571C41008148 @default.
- W2950967571 hasConceptScore W2950967571C9376300 @default.
- W2950967571 hasLocation W29509675711 @default.
- W2950967571 hasOpenAccess W2950967571 @default.
- W2950967571 hasPrimaryLocation W29509675711 @default.
- W2950967571 hasRelatedWork W1760625882 @default.
- W2950967571 hasRelatedWork W1819487690 @default.
- W2950967571 hasRelatedWork W1967299338 @default.
- W2950967571 hasRelatedWork W2024786149 @default.
- W2950967571 hasRelatedWork W2078826930 @default.
- W2950967571 hasRelatedWork W2100361274 @default.
- W2950967571 hasRelatedWork W2118951339 @default.
- W2950967571 hasRelatedWork W2123269187 @default.
- W2950967571 hasRelatedWork W2159178355 @default.
- W2950967571 hasRelatedWork W2230927862 @default.
- W2950967571 hasRelatedWork W2281997068 @default.
- W2950967571 hasRelatedWork W2341042349 @default.
- W2950967571 hasRelatedWork W2480593439 @default.
- W2950967571 hasRelatedWork W2951951718 @default.
- W2950967571 hasRelatedWork W2952551573 @default.
- W2950967571 hasRelatedWork W2963262580 @default.
- W2950967571 hasRelatedWork W2982363417 @default.
- W2950967571 hasRelatedWork W3045196617 @default.
- W2950967571 hasRelatedWork W3098352749 @default.
- W2950967571 hasRelatedWork W3136923792 @default.
- W2950967571 isParatext "false" @default.
- W2950967571 isRetracted "false" @default.
- W2950967571 magId "2950967571" @default.
- W2950967571 workType "article" @default.